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Finding the Third Proportional to 637,214 and 1,377,674

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Solution

The third proportional to 637,214 and 1,377,674 is: 2,978,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,214 : 1,377,674 = 1,377,674 : x
  2. Step 2: Convert to fraction form
    637,214/1,377,674 = 1,377,674/x
  3. Step 3: Cross multiply
    637,214x = 1,377,674 × 1,377,674
  4. Step 4: Simplify right side
    637,214x = 1,897,985,650,276
  5. Step 5: Solve for x
    x = 1,897,985,650,276/637,214
  6. Step 6: Final answer
    x = 2,978,568.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.